This is the last blog post I will be doing for Math 10 and it hurts me to say that. This year I loved Math. Every Unit was challenging and I think it was a big step up from grade 9. At the beginning of the year I wanted a challenge and I for sure got one. Math 10 is very important. The next two years are going to build off of what I learned this year so it’s important to know what you need to work on for the following years. I am going to state the 5 most important things I think were the most enjoyable this year.
DO YOUR HOMEWORK- This may not be fun… But it is Super important. And yes, I still need to work on getting better at this, but it is the most important thing for any class. You need to start making good work habits ASAP.
The second favorite part for me was doing SYSTEMS OF LINEAR EQUATIONS. I just loved how i could feel so confident in my answer because I could verify. I loved understanding how an equation could work and how I could get answers i never thought I could. I knew more about an equation than I thought.
The third thing is TRIGONOMETRY. It was by far the easiest unit for me. It was a little bit tricky in some parts but for the most part it was easy. If you pay attention you do great.
Number four was FACTORING AND POLYNOMIAL EXPRESSIONS. This one was my favorite because I got an incredible mark on my test that I was not expecting. I was just really proud of myself.
The last thing on my list was THE PEOPLE IN MY MATH CLASS. I could have not asked for a better math 10 class. Everyone was so kind. It was so much fun when everyone took the projects we did seriously. I loved when I could teach someone something and they could teach me something. I just loved hoe everyone contributed so well.
Math 10 was amazing for me and I would do it again. A big Thank You goes out to the greatest math teacher I’ve had in a long time. Mrs. Burton, thank you for teaching me so much and making it fun. I was a little nervous because I heard from other people it was going to be hard but you helped me get my way through it. 🙂
This week we had to do an assignment. On Desmos we had to put points on a graph that spelled our initials out. We needed to write the equation for each line and include the Domain and range. We had to at least write one equation in Slope y Intercept Form, General Form and Point Form.
Slope y Intercept Form: y= mx + b
General Form: Ax + By + C =0
Point Form: m( x – x1 ) = y – y1
Here are the tables I used to plot the points/make my initials on my graph:
This week our class learned about slope. Slope means how steep a line is.
To find the steepness of the line segment we use .
To help find the slope choose two nice points from the line segment. Rise is how high is goes (y) and Run is how far is travels (x).
In this image the slope is . That is because The rise (y) goes up to and the run (x) goes over three. This will also be positive because the line segment is moving upwards. We read the lines/graphs from left to right and this line goes from bottom up. For the line to become negative it would have to being going downwards from left to right. then the slope would be .
I will also introduce this handsome guy.
His name is Mr. Slope Guy and he helps us understand lines better.
The green features of his face represent a positive line. Notice if we read from left to right the line travels up
The red represents a negative line segment.notice if we read from left to right the line segment goes downward
His nose represents a vertical line. It has a little U under the line to help us remember the word undefined.
His mouth is the Zero Slope Line. It means that a horizontal line segment is 0. This is because it has no slope, so the slope is 0. Y needs to be higher or lower than 0 but cannot be 0!
This week we started Relations and Functions. This is something i think would be helpful remembering.
Relation: A comparison between two sets of elements (numbers) is a relation.
Ex. The cost of pellets is related to the weight.
To determine which is the input or the output you need to remember which one depends on which.
It does not make sense for the weight to depend on the cost therefore the sentence should be written as the cost depends on the weight. Because of this the cost is the input also known as the dependent, y and range. The weight is known as the independent, the input, and the domain.
This week I learned how to factor a simple polynomial. A simple polynomial means the leading coefficient is a one. To factor a simple polynomial you need to know what factoring is. Factoring is finding all the different numbers that multiply to get a certain number. Ex. 24 the factors of 24 are 1,2,3,4,6,8,12,24. Now I can teach you how to factor a simple polynomial.
Ex. + 8x +12
Step one: Factor the constant.
Step Two : Look at the clues; which of the pairs subtract or add to give you the middle term.
In this case it would be 2 and 6. Another clue is that everything is positive so the factors will be positive.
Step Three: Start writing it out
*You know that x times x is so the x’s will go at the front of the brackets. (x___)(x___)
The answer is (x +2) (x +6)
To check your answer use the claw method.
THERE IS A VIDEO BELOW TO SHOW YOU HOW TO USE THE CLAW METHOD, ALSO KNOWN AS FOIL